9777356160 has 512 divisors, whose sum is σ = 37013760000. Its totient is φ = 2164162560.

The previous prime is 9777356089. The next prime is 9777356161. The reversal of 9777356160 is 616537779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9777356161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40909321 + ... + 40909559.

It is an arithmetic number, because the mean of its divisors is an integer number (72292500).

Almost surely, 2^9777356160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9777356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880000).

9777356160 is an abundant number, since it is smaller than the sum of its proper divisors (27236403840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9777356160 is a wasteful number, since it uses less digits than its factorization.

9777356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The square root of 9777356160 is about 98880.5145617679. The cubic root of 9777356160 is about 2138.3254842487.

The spelling of 9777356160 in words is "nine billion, seven hundred seventy-seven million, three hundred fifty-six thousand, one hundred sixty".